[" P.16.Prove that: "+-2*7" ( ) "+tan^(-...

[" P.16.Prove that: "+-2*7" ( ) "+tan^(-1)((1)/(9))=sin^(-1)((1)/(sqrt(5)))" ."],[" p.17.Find the simplified form of "cos^(-1)[(3)/(5)cos x+(4)/(5)sin x]" where "x in[-(3 pi)/(4)]

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Find the simplified form of cos^(-1)(3/5cosx+4/5sinx),"where "x in[(-3pi)/4,pi/4] .

Simplify each of the following: cos^(-1)((3)/(5)cos x+(4)/(5)sin x), where -(3 pi)/(4)<=x<=(pi)/(4)

Simplify cos^-1(3/5cosx + 4/5 sin x), x in (-(2pi)/(3) , (pi)/(4))

Prove that: sin^(-1)(-(4)/(5))=tan^(-1)(-(4)/(3))=co^(-1)(-(3)/(5))-pi

Prove that: sin^(-1)((12)/(13))+cos^(-1)(4/5)+tan^(-1)((63)/(16))=pi

Prove that tan^-1 (1/4) + tan^-1 (2/9) = 1/2 cos^-1 (3/5) = sin^-1(1/sqrt5)

Prove that: sin^(-1)(-4/5)=tan^(-1)(-4/3)=cos^(-1)(-3/5)-pi

Prove that: sin^(-1)((3)/(5))+cos^(-1)((5)/(sqrt(26)))=tan^(-1)((19)/(17))

Prove that, tan^(-1)((3 sin 2x)/(5+3 cos 2x))+tan^(-1)((1)/(4) tan x)=x .

Prove that: sin^(-1)(12)/(13)+cos^(-1)(4)/(5)+tan^(-1)(63)/(16)=pi